Transcription
Sample Vessel 8PVE-Sample 8Pressure Vessel CalculationsApril 27, 2007XYZ Vessel Inc.123 AnytownOntario, Canada H0H 0H0Charles Liu P. EngLaurence Brundrett P. Eng.Pressure Vessel Engineering Ltd.PVE-Sample 8 Rev 01 of 25
Table of ContentsContentsCoverTable of ContentsSummaryMaterial PropertiesShellHeadsNozzle ANozzle A - For App. 1-7Nozzle A - App 1-7Flange ANozzle BFlange BNozzle C & DNozzle EFlange C, D & EFlange 42"Weight and VolumeLifting LugSeismic - Vessel on Beams27-Apr-07Page 2 of 25Page1234567-89 - 10111213 - 141516171819202122 - 25
Pressure Vessel Design Summary27-Apr-07XYZ Vessel Inc.Sample Vessel 8PVE-Sample 8PVE-Sample 8PVE-Sample 8 Rev 0427266Kerosene90001230012300Maximum Internal pressure, psiMaximum External Pressure, psi At Temperature, ºF7.5Minimum Temperature, ºF650Test Pressure, psi455CustomerVesselPart NumberDrawingJobOutside Diameter [inch]straight Shell (not including straight flange on heads)Volume [cuft]Fluid (value from Material Properties)Weight Empty [lbs.]Weight FullWeight Under Test350Maximum Temperature, ºFPage 3 of 25-20650At Pressure, psi350At a Minimum Temperature of: ºF For a Minimum Duration of:55 F1/2 hrMaximum Allowed Working PressureMaximum Design Metal TemperatureHydrostatic TestSA-240 30416,2000.0625NoNoNo0Primary Material of ConstructionAllowable StressMinimum allowed thickness per UG-16(b)Material NormalizedMaterial Impact Tested (not required per UHA-51(d))Radiography requiredCorrosion AllowanceASME -22 Loadings ConsideredYes(a) Internal pressureYes(a) External pressureYes(b) Vessel weight full, empty and at hydro testYes(c) Weight of attached equipment and piping(d)(1) Attachment of internalsYes(d)(2) Attachment of vessel supports(d) Cyclic or dynamic reactions(f) Wind(f) SnowYes(f) Seismic(g) Fluid impact shock reactions(h) Temperature gradients(h) Differential thermal expansion(i) Abnormal pressures like deflagrationCode Cases Required
1Material Properties2ASME VIII, IID 2004 Edition no Addenda57891011121314151617Design Pressure350.07.5Kerosene11.250.800Design Pressure 202122Hydro Test(UG-99(b))Test Press P * 1.3 * MRpressure measured at top of vessel, rounded up 350 * 1.3 * 1mTp 455Material Properties(ASME IID)650 - mTemp, design temp ºFMaterialWhere UsedSA-240 304 PlateSA-312 TP304 Sms. and Wld. PipeSA/CSA-G40.21 44WSA-182 F304 ForgingShell & HeadsPipeLegsFlangesTest at ambient tempAmbient DesignStrength Max ºFStrength Strength Ratio2000016200 1.23515002000016200 1.23515001710017100 1.0006502000016200 34445464748Page 4 of 25UG-22(a) - P, internal operating pressure at top of vessel (psig) - mPa, external operation pressure - Operating FluidSource - Machinery's handbook - 26th edition - h, fluid height (ft) - rho, fluid density (1.0 for water)P 0.4331*rho*h 350 0.4331 * 0.8 * 11.25mDp 353.9181927-Apr-07www.pveng.comSample Vessel 8 - Vessel346ver 2.01Min Ratio (MR) 1.000ExtGraphHA-1HA-1CS-2HA-1
3Pipe and Shell ver 2.394ASME Code VIII Div I 2004 Edition No 585960616263646566Page 5 of 25www.pveng.comSample Vessel 8 - Vessel42" OD Rolled Plate - Description5827-Apr-07 - Do - Outside Diameter (inch) - t - Nominal Wall Thickness (inch) - tminUG16(b) - Minimum Wall Thickness Per UG-16(b) - Le - Effective Length (inch) - Length for volume and weight (inch) - Corr, Corrosion Allowance (inch)N/A - n, Number of ThreadsMaterial and Conditions:SA-240 304 - Material16,200 - S, Allowable Stress Level (psi)0.7 - El - Longitudinal Efficiency (circ. stress)0.7 - Ec - Circ. Connecting Efficiency (longitudinal stress)0.0% - UTP, Undertolerance allowance (%)53.68 - Volume (cubic ft)0.000 - UTI, Undertolerance allowance (inch)1,984.7 - Material Weight (lbs cs)353.97.57,9151,759Variables:UT Td nt Ri LDo - P, Interior Pressure - Pa, Exterior Pressure - Ba, From exterior pressure curve - Bb, From exterior pressure curvet*UTP UTI0.8/nt-Corr-UT-TdDo/2-ntLe/Do 0.75*0 0 NA 0.75-0-0-0 42/2-0.75 79/420.001780 - Aa (use to lookup Ba)0.000136 - Ab (use to lookup Bb)undertolleranceThread depthnominal thickeffective inside radiusUT Td nt Ri LDo Interior Pressure UG-27 (c) (1,2)ta P*Ri/(S*El-0.6*P) 353.898*20.25/(16200*0.7-0.6*353.898)ta tb P*Ri/(2*S*Ec 0.4*P) 353.898*20.25/(2*16200*0.7 0.4*353.898)tb tmin Max(ta,tb,tminUG16b) ntAcceptabletmin PMaxA (S*El*nt)/(Ri 0.6*nt) (16200*0.7*0.75)/(20.25 0.6*0.75)PMaxA PMaxB (2*S*Ec*nt)/(Ri-0.4*nt) (2*16200*0.7*0.75)/(20.25-0.4*0.75)PMaxB PMax Min(PMaxA,PMaxB)Acceptable PMax tr1 P*Ri/(S*1-0.6*P) 353.898*20.25/(16200*1-0.6*353.898)tr1 Exterior Pressure UG-28 (c)DoT Do/nt 42/0.75Aa Interpolated from IID Part D Table GPaMax 4*Ba/(3*DoT) 4*7914.982/(3*56)DoTe Ab tre treCorr Do/tre 42/0.134Interpolated from IID Part D Table G(3*Do*Pa)/(4*Bb) (3*42*7.5)/(4*1758.76)tre corr ut td 0.134 0 0 .6410.90.448DoT 56.000Aa 0.001780Acceptable PaMax 188.5DoTe Ab tre Acceptable treCorr Shell stress relief -UCS-79(d), UNF-79(d), UHA-44(d)Rf (do-t)/2 (42-0.75)/2% elong (50*t/Rf)*(1-0) (50*0.75/20.625)*(1-0)% elongation 20.0% - Max ElongationYes - Cold formed1.8% - ElongationRequiredno - Vessel carries lethal substances (Yes/no)nono - Impact testing is required (Yes/no)nono - Greater than 10% reduction in thicknessnono - Formed between 250 and 900 Degrees FnoYES - Shell is greater than 5/8" thick before formingYes ?Stress Relieve ?312.6690.0001360.1340.13420.6251.8nonononononono
39Heads ver 4.1540ASME Code VIII Div I 2004 Edition No r-07Page 6 of 25NO Appendix 1-4(f)Sample Vessel 8 - VesselASME SE Head - 980.0630.0001.500 - Do, outside diameter - h10.85 - ho - tb, thickness before forming - tf, thickness after forming - tminUG16(b) - Min.t. Per UG-16(b) - Corr, corrosion allowance - Skirt, straight skirt lengthMaterial and Conditions:SA-240 304 - material16,200 - S, allowable stress level (psi)0.85 - E, efficiency353.9 - P, interior pressure7.5 - Pa, exterior pressure8,578 - Ba, from exterior pressure curve3,484 - Bb, from exterior pressure curveCalculated Properties:52.168 - Approximate blank diameter454.7 - Approximate weight for steel, (lbs)0.002383 - Aa value to lookup Ba0.000269 - Ab value to lookup Bb6.20 - Volume (cuft, includes skirt)32.48 - Spherical Limit (0.8 * D)Variables:D ho D/2h Do/2ho K Kone Kzero t Ro Do-2*t 42-2*0.698h t 10.151 0.698D/(2*h)UG-37 & Ap 1-4(c) 40.605/(2*10.151)Do/(2*ho) UG-37 & Ap 1-4(c) 42/(2*10.849)Interpolated value from table 1-4.1D/2hInterpolated value from table UG-37D/2hInterpolated value from table UG-33.1Do/2hotf-corr 0.698-0Ko*DoUG-33(d) 0.871*42interiorsphericalexteriorD ho D/2h Do/2ho K Kone Kzero t Ro erior Pressure App 1-4(a), App 1-4(c), UG-37(a)(1):App. 1-4(a) check:0.0005 tf/(Kone*D) 0.002tf/(Kone*D) 0.0191 0.0005 0.698/(0.9*40.605) 0.002App. 1-4(f) calculation not neededTMinI (P*D*K)/(2*S*E-0.2*P) tTMinI (min thickness) 0.523 (353.898*40.605*1)/(2*16200*0.85-0.2*353.898) 0.698TMin Max(Tminl,tminUG16(b)) tf-corrAcceptableTMin 0.523PMax (2*S*E*t)/(K*D 0.2*t) PAcceptable PMax 471.5 (2*16200*0.85*0.698)/(1*40.605 0.2*0.698) 354Interior Pressure for Nozzles App 1-4(a), App 1-4(c), UG-37(a)(1):TMinE1 (P*D*K)/(2*S*1-0.2*P) t(Nozzle in Knuckle) TMinE1 0.444 (353.898*40.605*1)/(2*16200*1-0.2*353.898) 0.698TSpI (P*D*Kone)/(2*S*E-0.2*P)(Nozzle in Crown) TSpI 0.400 or Pressure UG-33(d), UG-28(d):Aa 0.125/(Ro/t) 0.125/(36.585/0.698)PaMax Ba/(Ro/t) Pa 8577.591/(36.585/0.698) 7.5Ab 0.125/(Ro/tMinE) 0.125/(36.585/0.079)TMinE (Ro*Pa)/Bb (36.585*7.5)/3484.34TMinEC TMinE corr 0.079 0Aa Acceptable PaMax Ab TMinE Acceptable TMinEC Head stress relief UCS-79(d), UNF-79(d), UHA-44(d)% elong ((75*t)/h)*(1-0) ((75*0.698)/10.151)*(1-0)% elong 20.0% - Max ElongationYes - Cold Formed5.5% - ElongationRequiredno - Vessel carries lethal substances(Yes/no)nono - Impact testing is required (Yes/no)nono - Formed between 250 and 900 Degrees Fnono - Greater than 10% reduction in thicknessnoYes - Head is greater than 5/8" thick before formingYes ?Stress Relieve ?0.002383163.50.0002690.0790.0795.5nonononononono
28Nozzle Reinforcement ver 3.8429ASME Code VIII Div I 2004 Edition No 15118128132141143144145146148153157159169Sample Vessel 8 - VesselNozzles A - 24" SCH 40 Pipe - Description27-Apr-07Page 7 of 25Automatic dh - not hillsideAutomatic Limit DiameterCurved Shell or Head SectionShell:SA-240 304 - Shell MaterialDo16,200 - Sv, shell allowable stress level, PSINt1.00 - Eone, efficiency of shell at nozzle40.50 - Ds, Shell IDLeg50.750 - Vt, shell wall thick, uncorroded, UT removedLeg410.448 - tr, required shell wall thickness int. press.(E 1)Leg420.134 - trE, required shell wall thickness ext. press.(E 1)0.000 - sca, shell corrosion allowanceRingte50.063 - tmin16b, Min allowed wall per UG-16(b)gVtNozzle:ShellSA-312 TP304 - Nozzle Material16,200 - Sn, allowable stress level (Sn)Dp4,071 - B, from A 0.000310.85 - E, nozzle efficiencyLegG353.9 - P, internal design pressureUW-16.1(q)7.5 - Pa, external design pressure24.000 - Do, outside diameter0.688 - Nt, wall thick, uncorrodedNote: Nozzle load calculations see "Nozzle A FEA Report".12.5% - UTp, undertolerance (%)0.000 - nca, nozzle corrosion allowance6.000 - L, exterior ProjectionReinforcing:SA-240 304 - Reinforcing plate materialAt least one telltale hole (max. size NPS 1/4 tap) in repad required16,200 - Sp, allowable stress level30.000 - Dp, outside diameter0.750 - te, reinforcement thick0.563 - Leg41, size of weld fillet0.688 - Leg42, size of weld fillet0.500 - LegG, depth of groove0.500 - Leg5, depth of grooveVariables:UT Nt*UTp 0.688 * 0.125UndertoleranceUT Rn Do/2 - (Nt-nca) UT 24/2 - (0.688-0) 0.086Effective RadiusRn Dp Min(2*d,DpEntered) Min(2*22.624,30)Effective ReinforcingDp t Vt-sca 0.75 - 0Effective Shell Thicknesst ti Nt-2*nca 0.688 - 2 * 0Nom Thick of Int. Proj.ti te teEnteredEffective Reinf. Thick.te tn Nt-nca 0.688-0Avail. Nozzle Thick. No UTtn d Do-2*tn 24 - 2*0.688Opening Dia.d fr1 MIN(Sn/Sv,1) MIN(16200/16200, 1)fr1 fr2 MIN(Sn/Sv,1) MIN(16200/16200, 1)fr2 fr3 MIN(Sn/Sv,Sp/Sv,1) MIN(16200/16200, 16200/16200,1)fr3 fr4 MIN(Sp/Sv,1) MIN(16200/16200,1)fr4 Ro Do/2 24/2Ro tcLeg41 Min(0.25,0.7*Min(0.75,Nt,te)) Min(0.25,0.7*Min(0.75,0.688,0.75))tc41 F 1.000F Pipe Required Wall Thickness - trn from internal, trnE from external pressuretrn (P*Rn)/(Sn*E - 0.6*P) tn-UT (353.9*11.398)/(16200*0.85 - 0.6*353.9)trn 0.298trnR (P*Rn)/(Sn*1 - 0.6*P) (353.9*11.398)/(16200*1 - 0.6*353.9)E 1trnR 0.252trnE (3*Do*Pa)/(4*B) tn-ut (3*24*7.5)/(4*4071)trnE 0.033Geometry Constraints:0.7*Leg41 tc410.7*0.563 0.250.394 0.2500.7*Leg42 0.5*Min(0.75,te,Vt) 0.7*0.688 0.5*Min(0.75,0.75,0.75)0.481 0.375Leg5 0.7*Min(0.75,te,Nt)0.5 0.7*Min(0.75,0.75,0.688)0.500 0.482LegG 0.7*Min(0.75,Vt,Nt)0.5 0.7*Min(0.75,0.75,0.688)0.500 0.482Nozzle22UW16(q) - bleAcceptable
e Vessel 8 Nozzles A - 24" SCH 40 Pipe27-Apr-07Page 8 of 25Appendix 1-7 Necessary Checkwhen Ds 60,if(2*Rn Ds/3,if(2*Rn 40, "App. 1-7 calculations not required","App. 1-7 calculations required"),"App. 1-7 calculations required")when Ds 60,if(2*Rn Ds/2,if(2*Rn 20,"App. 1-7 calculations not required","App. 1-7 calculations required"),"App. 1-7 calculations required")App. 1-7 calculations requiredArea Replacement: Fig UG-37.1Pressure From: InternalExternalA 1.0*d*tr*F 2*tn*tr*F*(1-frone)A Required (internal) 10.141 1.0*22.624*0.448*1 2*0.688*0.448*1*(1-1)Ae 0.5*(d*trE*1 2*tn*trE*1*(1-frone)) 0.5*(22.624*0.134*1 2*0.688*0.134*1*(1-1))A Required (external) 1.520A1 max(d, 2*(t tn)) * (E1*t-F*tr)-2*tn*(E1*t-F*tr)*(1-fr1)A1 6.827 max(22.624, 2*(0.75 0.688)) * (1*0.75-1*0.448)-2*0.688*(1*0.75-1*0.448)*(1-1)A1e max(d, 2*(t tn)) * (Eone*t-F*trE)-2*tn*(Eone*t-F*trE)*(1-frone)A1e 13.929 max(22.624, 2*(0.75 0.688)) * (1*0.75-1*0.134)-2*0.688*(1*0.75-1*0.134)*(1-1)A2 min((tn-trn)*fr2*min(5*t,2*L) , (tn-trnR)*(Min(2.5*tn te,L)*fr1*2)A2 1.634 min((0.688-0.252)*1*min(5*0.75,2*6) , (0.688-0.252)*(Min(2.5*0.688 0.75,2*6)*1*2)A2e min((tn-trnE)*frtwo*Min(5*t,2*L) , 2*(tn-trnE)*Min(2.5*tn te,L)*frone)A2e 2.456 min((0.688-0.033)*1*Min(5*0.75,2*6) , 2*(0.688-0.033)*Min(2.5*0.688 0.75,6)*1)A5 (Dp - d - 2tn)te*fr4 (30 - 22.624 - 2*0.688)*0.75*1A5 4.5004.500A41 Leg41 2*frThreeA41 0.5625 2*1A41 0.3160.316A42 Leg42 2*frfourA42 0.6875 2*1A42 0.4730.473Actual Area 13.75021.674AcceptableActual-Required 3.60920.154Internal Weld Load: (UG-41)WmaxI (A - A1 2*Tn*Fr1*(E1*t-F*tr))*Sv, min0 (10.141 - 6.827 2*0.688*1*(1*0.75-1*0.448))*16200WmaxI 60,418W 1-1 MIN((A2 A5 A41 A42)*Sv,WmaxI)W 1-1 60,418 MIN((1.634 4.5 0.316 0.473)*16200,60418)W 2-2 Min((A2 A3 A41 A43 2*Tn*
6 350.0 - P, internal operating pressure at top of vessel (psig) 7 7.5 - mPa, external operation pressure 8 Kerosene - Operating Fluid Source - Machinery's handbook - 26th edition 9 11.25 - h, fluid height (ft) 10 0.800 - rho, fluid density (1.0 for water) 11 Design Pressure P 0.4331*rho*h 350 0.4331 * 0.8 * 11.25 mDp 353.9 12
